2083553760 has 48 divisors (see below), whose sum is σ = 6563195856. Its totient is φ = 555614208.

The previous prime is 2083553743. The next prime is 2083553783. The reversal of 2083553760 is 673553802.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2083553760³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2169889 + ... + 2170848.

It is an arithmetic number, because the mean of its divisors is an integer number (136733247).

Almost surely, 2^2083553760 is an apocalyptic number.

2083553760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083553760 is an abundant number, since it is smaller than the sum of its proper divisors (4479642096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2083553760 is a wasteful number, since it uses less digits than its factorization.

2083553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340755 (or 4340747 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2083553760 is about 45645.9610480489. The cubic root of 2083553760 is about 1277.2274297431.

The spelling of 2083553760 in words is "two billion, eighty-three million, five hundred fifty-three thousand, seven hundred sixty".